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2001134344 = 2311374314293
BaseRepresentation
bin111011101000110…
…1110001100001000
312011110111011020211
41313101232030020
513044242244334
6530323130504
7100406234626
oct16721561410
95143434224
102001134344
11937651940
1247a213a34
1325b783781
1414dab2516
15baa38a64
hex7746e308

2001134344 has 64 divisors (see below), whose sum is σ = 4301922240. Its totient is φ = 864380160.

The previous prime is 2001134323. The next prime is 2001134353. The reversal of 2001134344 is 4434311002.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 132862 + ... + 147154.

It is an arithmetic number, because the mean of its divisors is an integer number (67217535).

Almost surely, 22001134344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2001134344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2150961120).

2001134344 is an abundant number, since it is smaller than the sum of its proper divisors (2300787896).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2001134344 is a wasteful number, since it uses less digits than its factorization.

2001134344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14390 (or 14386 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 2001134344 is about 44734.0401037063. The cubic root of 2001134344 is about 1260.1592021900.

Adding to 2001134344 its reverse (4434311002), we get a palindrome (6435445346).

The spelling of 2001134344 in words is "two billion, one million, one hundred thirty-four thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 22 37 43 44 74 86 88 148 172 296 344 407 473 814 946 1591 1628 1892 3182 3256 3784 6364 12728 14293 17501 28586 35002 57172 70004 114344 140008 157223 314446 528841 614599 628892 1057682 1229198 1257784 2115364 2458396 4230728 4916792 5817251 6760589 11634502 13521178 22740163 23269004 27042356 45480326 46538008 54084712 90960652 181921304 250141793 500283586 1000567172 2001134344